x^2+35x+5=0

Simple and best practice solution for x^2+35x+5=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+35x+5=0 equation: 


Simplifying
x2 + 35x + 5 = 0

Reorder the terms:
5 + 35x + x2 = 0

Solving
5 + 35x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 35x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 35x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 35x + x2 = 0 + -5
35x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
35x + x2 = -5

The x term is 35x.  Take half its coefficient (17.5).
Square it (306.25) and add it to both sides.

Add '306.25' to each side of the equation.
35x + 306.25 + x2 = -5 + 306.25

Reorder the terms:
306.25 + 35x + x2 = -5 + 306.25

Combine like terms: -5 + 306.25 = 301.25
306.25 + 35x + x2 = 301.25

Factor a perfect square on the left side:
(x + 17.5)(x + 17.5) = 301.25

Calculate the square root of the right side: 17.356554958

Break this problem into two subproblems by setting 
(x + 17.5) equal to 17.356554958 and -17.356554958.


Subproblem 1
x + 17.5 = 17.356554958

Simplifying
x + 17.5 = 17.356554958

Reorder the terms:
17.5 + x = 17.356554958

Solving
17.5 + x = 17.356554958

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = 17.356554958 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = 17.356554958 + -17.5
x = 17.356554958 + -17.5

Combine like terms: 17.356554958 + -17.5 = -0.143445042
x = -0.143445042

Simplifying
x = -0.143445042


Subproblem 2
x + 17.5 = -17.356554958

Simplifying
x + 17.5 = -17.356554958

Reorder the terms:
17.5 + x = -17.356554958

Solving
17.5 + x = -17.356554958

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = -17.356554958 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = -17.356554958 + -17.5
x = -17.356554958 + -17.5

Combine like terms: -17.356554958 + -17.5 = -34.856554958
x = -34.856554958

Simplifying
x = -34.856554958


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.143445042, -34.856554958}

See similar equations:

| 7y+10=8y-5 | | t=100(n+3) | | 5.1x+10.2=1.02 | | 1a+7=12-a | | X-4=-1+2 | | =15k^2-19k+6 | | 3tan(3x)=3 | | 4x-3=2(4+2x) | | 25g^2+60gh+36h^2=0 | | -5(c-5)=2(-4c+5) | | n+(n+1)+(n+2)+(n+3)=102 | | 17=5b-8 | | 5x+12x-20=-3 | | 2/4=0.4 | | V^2-8v+8=-7 | | 1/3•10 | | 1/3×3.14×4 | | 7y-10=8y-5 | | (4y+6)-(3+3y)=4 | | 3n^2-6n-6=0 | | 8(2m-5)-9=15 | | 1025=2(55)+5(a*107) | | x=4+-2x | | 8(2x-5)= | | 17-6y=3y+8 | | 6x^4+57x^2+30x+3=0 | | 17x+34=10 | | 5y^2+y-4=0 | | .2n=12n | | XsquareDo=16 | | 36x^3-36x^2-8x=0 | | 12a-13a-35=0 |

Equations solver categories